77917 ÷ 5 = 15583 R2
No problem, we've got 77917 and 5 for the division.

Step 1:
5 goes into 7 1 times with a remainder of 2.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 5 from 7 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 5

Step 2:
5 goes into 27 5 times with a remainder of 2.
Write down 5 as next digit of of the result. 
Result so far: 15
Subtract 25 from 27 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 5

Step 3:
5 goes into 29 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 155
Subtract 25 from 29 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 5

Step 4:
5 goes into 41 8 times with a remainder of 1.
Write down 8 as next digit of of the result. 
Result so far: 1558
Subtract 40 from 41 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 5

Step 5:
5 goes into 17 3 times with a remainder of 2.
Write down 3 as next digit of of the result. 
Result so far: 15583
Subtract 15 from 17 to get 2.

The final result is 15583 with a remainder of 2.